Question: Problem 5.1 (Video 4.1, 4.5, 4.6, Lecture Problem) Consider the following joint PMF: Y Pxy(2,3) -2 -1 +1 +2 0 1/12 0 1/6 0

Problem 5.1 (Video 4.1, 4.5, 4.6, Lecture Problem) Consider the following joint

Problem 5.1 (Video 4.1, 4.5, 4.6, Lecture Problem) Consider the following joint PMF: Y Pxy(2,3) -2 -1 +1 +2 0 1/12 0 1/6 0 8 1 1/3 0 0 1/6 2 0 1/12 1/12 1/12 (a) Determine the marginal PMFs Px(x) and Py(y). (b) Calculate E[X] and E[Y]. (c) Calculate P[X < Y]. (d) Determine the conditional PMF Pxy (xy) and write it out as a table. (e) Calculate P[X > 1|Y = 2]. (f) Are X and Y independent? (g) Calculate E[2X - 3Y]. (h) Calculate E[XY2].

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